Forcing and differentiable functions

DOI10.1007/S11083-011-9210-8zbMath1250.03099arXiv0912.3733OpenAlexW2159655092MaRDI QIDQ438809

Kenneth Kunen

Publication date: 31 July 2012

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.3733

zbMATH Keywords

MAPFAsmooth curve\(\aleph_1\)-dense sets of reals

Mathematics Subject Classification ID

Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50)

Related Items (2)

Approximation by Entire Functions in the Construction of Order-Isomorphisms and Large Cross-Sections ⋮ Covering an uncountable square by countably many continuous functions

Cites Work

• On the consistency of some partition theorems for continuous colorings, and the structure of \(\aleph _ 1\)-dense real order types
• Martin's axiom does not imply that every two \(chi_ 1-\)dense sets of reals are isomorphic
• Covering an uncountable square by countably many continuous functions
• Entire functions mapping uncountable dense sets of reals onto each other monotonically
• Everywhere Differentiable, Nowhere Monotone, Functions
• Αll $ℵ_1$-dense sets of reals can be isomorphic

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